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Finding the Third Proportional to 125,456,752 and 271,760,532

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Solution

The third proportional to 125,456,752 and 271,760,532 is: 588,679,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456,752 : 271,760,532 = 271,760,532 : x
  2. Step 2: Convert to fraction form
    125,456,752/271,760,532 = 271,760,532/x
  3. Step 3: Cross multiply
    125,456,752x = 271,760,532 × 271,760,532
  4. Step 4: Simplify right side
    125,456,752x = 73,853,786,752,923,024
  5. Step 5: Solve for x
    x = 73,853,786,752,923,024/125,456,752
  6. Step 6: Final answer
    x = 588,679,250.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.